Question

plxx solve this problem. ....
que 25.

Answer 1

(3×1)^2 - 1/1×1×1

(3)^2 -1

9-1

8

Answer 2

Answer: 8

Step-by-step explanation: As we know by trignometric ratios

Given impression: $(\dfrac{3\cos43^{\circ}}{\sin47^{\circ}}) ^2-\dfrac{\cos37^{\circ}\cosec53^{\circ}}{\tan5^{\circ}\tan25^{\circ}\tan65^{\circ}\tan85^{\circ}}$

⇒$(\dfrac{3\cos(90-47)^{\circ}}{\sin47^{\circ}} )^2 - \dfrac{\cos(90-53)^{\circ}\dfrac{1}{\sin53^{\circ}} }{\tan(90-85)^{\circ}\tan(90-65)^{\circ}1\tan65^{\circ}\tan85^{\circ}}$

⇒$(\dfrac{3\sin47^{\circ}}{\sin47^{\circ}} )^2-\dfrac{\sin53^{\circ}\dfrac{1}{\sin53^{\circ}} }{\cot85^{\circ}\cot65^{\circ}\tan85^{\circ}\tan65^{\circ}}$

$\Rightarrow3^2 -\dfrac{1}{1}\\\\\Rightarrow9-1=8$

Hence,  the answer is 8.